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Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Formula

GoDiameter of crank pin of centre crankshaft for max torque Formula

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Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank. Check FAQs

d c = {(\frac{16}{π \cdot τ} \cdot \sqrt{({M b}^{2}) + ({M t}^{2})})}^{\frac{1}{3}}

d_c - Diameter of Crank Pin?τ - Shear Stress in Central Plane of Crank Pin?M_b - Bending Moment at Central Plane of Crankpin?M_t - Torsional Moment at central plane of crankpin?π - Archimedes' constant?

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Example

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Here is how the Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment equation looks like with Values.

Here is how the Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment equation looks like with Units.

Here is how the Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment equation looks like.

50.0643 = {(\frac{16}{3.1416 \cdot 19.9} \cdot \sqrt{(100^{2}) + (480^{2})})}^{\frac{1}{3}}

50.0643mm = {(\frac{16}{3.1416 \cdot 19.9N/mm²} \cdot \sqrt{({100N*m}^{2}) + ({480N*m}^{2})})}^{\frac{1}{3}}

50.0643 = {(\frac{16}{3.1416 \cdot 19.9} \cdot \sqrt{(100^{2}) + (480^{2})})}^{\frac{1}{3}}

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Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Solution

Follow our step by step solution on how to calculate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

FIRST Step Consider the formula

d c = {(\frac{16}{π \cdot τ} \cdot \sqrt{({M b}^{2}) + ({M t}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d c = {(\frac{16}{π \cdot 19.9N/mm²} \cdot \sqrt{({100N*m}^{2}) + ({480N*m}^{2})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d c = {(\frac{16}{3.1416 \cdot 19.9N/mm²} \cdot \sqrt{({100N*m}^{2}) + ({480N*m}^{2})})}^{\frac{1}{3}}

Next Step Convert Units

∴

d c = {(\frac{16}{3.1416 \cdot 2E+7Pa} \cdot \sqrt{({100N*m}^{2}) + ({480N*m}^{2})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d c = {(\frac{16}{3.1416 \cdot 2E+7} \cdot \sqrt{(100^{2}) + (480^{2})})}^{\frac{1}{3}}

Next Step Evaluate

∴

d c = 0.0500642931036181m

Next Step Convert to Output's Unit

∴

d c = 50.0642931036181mm

LAST Step Rounding Answer

∴

d c = 50.0643mm

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Formula Elements

Variables

Constants

Functions

Diameter of Crank Pin

Diameter of crank pin is the diameter of the crank pin used in connecting the connecting rod with the crank.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Crank Pin

Shear Stress in Central Plane of Crank Pin

Shear stress in central plane of crank pin is the amount of shear stress (causes deformation by slippage along plane parallel to the imposed stress) at the central plane of the crank pin.

Symbol: τ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Shear Stress in Central Plane of Crank Pin

Bending Moment at Central Plane of Crankpin

Bending Moment at central plane of crankpin is the reaction induced in the central plane of the crankpin when an external force or moment is applied to the crankpin causing it to bend.

Symbol: M_b

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment at Central Plane of Crankpin

Torsional Moment at central plane of crankpin

Torsional Moment at central plane of crankpin is the torsional reaction induced in the central plane of the crankpin when an external twisting force is applied to the crankpin causing it to twist.

Symbol: M_t

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torsional Moment at central plane of crankpin

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Crank Pin

Go Diameter of crank pin of centre crankshaft for max torque

d c = {((\frac{16}{π \cdot τ}) \cdot \sqrt{{(R v1 \cdot b 1)}^{2} + {(R h1 \cdot r)}^{2}})}^{\frac{1}{3}}

Other formulas in Design of Crank Pin at Angle of Maximum Torque category

Go Torsional moment at central plane of crank pin of centre crankshaft at max torque

M t = R h1 \cdot r

Go Bending moment at central plane of crank pin of centre crankshaft at max torque

M b = R v1 \cdot b 1

Go Shear stress in crankpin of centre crankshaft for max torque given bending and torsional moment

τ = \frac{16}{π \cdot {d c}^{3}} \cdot \sqrt{({M b}^{2}) + ({M t}^{2})}

Go Shear stress in crankpin of centre crankshaft for max torque

τ = (\frac{16}{π \cdot {d c}^{3}}) \cdot \sqrt{{(R v1 \cdot b 1)}^{2} + {(R h1 \cdot r)}^{2}}

How to Evaluate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment evaluator uses Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3) to evaluate the Diameter of Crank Pin, The Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment is the diameter of the crank pin used in the assembly of connecting rod with the crank, when the centre crankshaft is designed for maximum torsional moment. Diameter of Crank Pin is denoted by d_c symbol.

How to evaluate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment using this online evaluator? To use this online evaluator for Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment, enter Shear Stress in Central Plane of Crank Pin (τ), Bending Moment at Central Plane of Crankpin (M_b) & Torsional Moment at central plane of crankpin (M_t) and hit the calculate button.

FAQs on Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment

What is the formula to find Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

The formula of Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment is expressed as Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3). Here is an example- 50064.29 = (16/(pi*19900000)*sqrt((100^2)+(480^2)))^(1/3).

How to calculate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

With Shear Stress in Central Plane of Crank Pin (τ), Bending Moment at Central Plane of Crankpin (M_b) & Torsional Moment at central plane of crankpin (M_t) we can find Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment using the formula - Diameter of Crank Pin = (16/(pi*Shear Stress in Central Plane of Crank Pin)*sqrt((Bending Moment at Central Plane of Crankpin^2)+(Torsional Moment at central plane of crankpin^2)))^(1/3). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Crank Pin?

Here are the different ways to Calculate Diameter of Crank Pin-

Diameter of Crank Pin=((16/(pi*Shear Stress in Central Plane of Crank Pin))*sqrt((Vertical Reaction at Bearing 1 due to Radial Force*Centre Crankshaft Bearing1 Gap from CrankPinCentre)^2+(Horizontal Force at Bearing1 by Tangential Force*Distance Between Crankpin and Crankshaft)^2))^(1/3)

Can the Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment be negative?

No, the Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment, measured in Length cannot be negative.

Which unit is used to measure Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment can be measured.

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Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Formula

​GoDiameter of crank pin of centre crankshaft for max torque Formula

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Example

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Solution

Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment Formula Elements

Other Formulas to find Diameter of Crank Pin

Other formulas in Design of Crank Pin at Angle of Maximum Torque category

How to Evaluate Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment?

FAQs on Diameter of crank pin of centre crankshaft for max torque given bending and torsional moment

Variable Name

GoDiameter of crank pin of centre crankshaft for max torque Formula